Countable composition closedness and integer-valued continuous functions in pointfree topology

‎For any archimedean$f$-ring $A$ with unit in whichbreak$awedge‎ ‎(1-a)leq 0$ for all $ain A$‎, ‎the following are shown to be‎ ‎equivalent‎: ‎ ‎1‎. ‎$A$ is isomorphic to the $l$-ring ${mathfrak Z}L$ of all‎ ‎integer-valued continuous functions on some frame $L$‎. 2‎. ‎$A$ is a homomorphic imag...

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Bibliographic Details
Main Author: Bernhard Banaschewski
Format: Article
Language:English
Published: Shahid Beheshti University 2013-12-01
Series:Categories and General Algebraic Structures with Applications
Subjects:
Online Access:http://www.cgasa.ir/article_4262_73b32f9f16cd67536694bb804916b55f.pdf